What is exact change in position of the particle?
The velocity of a particle moving along the x-axis is given by #f(t)=15−5t# cm/s. Use a graph of f(t) to find the exact change in position of the particle from time t=0 to t=4 seconds.
The velocity of a particle moving along the x-axis is given by
1 Answer
Nov 11, 2017
Change in position is also called displacement. It is a vector quantity.
Explanation:
Given
at
#t=0# ,#f=15#
at#t=1# ,#f=10#
at#t=2# ,#f=5#
at#t=3# ,#f=0#
at#t=4# ,#f=-5#
Plot graph as below
We know that
#:. "Displacement"="Area of "Delta ABC+"Area of "Delta CDE#
#=> "Displacement"=1/2xx3xx15+1/2xx(-5)xx1#
#=> "Displacement"=22.5-2.5=20cm#